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218295000001 = 131743891991297
BaseRepresentation
bin1100101101001101100…
…1010101101111000001
3202212110100112222110001
43023103121111233001
512034032010000001
6244141111240001
721525360612301
oct3132331255701
9685410488401
10218295000001
118463a922511
1236382679001
131777b6b9770
14a7cbb7d601
155a296a0001
hex32d3655bc1

218295000001 has 64 divisors (see below), whose sum is σ = 259060032000. Its totient is φ = 182097248256.

The previous prime is 218294999999. The next prime is 218295000037. The reversal of 218295000001 is 100000592812.

Adding to 218295000001 its reverse (100000592812), we get a palindrome (318295592813).

It is a 3-Lehmer number, since φ(218295000001) divides (218295000001-1)3.

It is a cyclic number.

It is a Carmichael number.

It is not a de Polignac number, because 218295000001 - 21 = 218294999999 is a prime.

It is a deceptive number, since it divides R218295000000.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (218295000061) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 168306985 + ... + 168308281.

It is an arithmetic number, because the mean of its divisors is an integer number (4047813000).

It is a Poulet number, since it divides 2218295000000-1.

Almost surely, 2218295000001 is an apocalyptic number.

It is an amenable number.

218295000001 is a deficient number, since it is larger than the sum of its proper divisors (40765031999).

218295000001 is a wasteful number, since it uses less digits than its factorization.

218295000001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1658.

The product of its (nonzero) digits is 1440, while the sum is 28.

The spelling of 218295000001 in words is "two hundred eighteen billion, two hundred ninety-five million, one", and thus it is an aban number.

Divisors: 1 13 17 43 89 199 221 559 731 1157 1297 1513 2587 3383 3827 8557 9503 16861 17711 19669 22049 43979 49751 55771 65059 111241 115433 145469 230243 258103 286637 301087 725023 761573 845767 948107 1500629 1891097 1962361 3355339 3914131 4387751 4963619 9900449 11098429 12325391 12946741 22971167 25510693 57040763 64527047 84381523 144279577 168307633 188673293 298625171 390509839 987760181 1096959799 2452752809 5076627907 12840882353 16791923077 218295000001